Prepare the pork by seasoning the entirety with oregano, cumin, garlic powder, sea salt, and freshly cracked black pepper to taste.Side note: I don't have exact measurements of the seasonings because I just sprinkled them all over the roast.
Heat olive oil in a small Dutch oven over medium-high heat. Once hot, add the seasoned pork roast and sear on all sides.
Add the chopped garlic, whole green chiles, and chicken broth.
Cover with a lid and place in the oven for 2 hours, then turn the roast over.
Cook for an additional 1½ to 2 hours or until the meat shreds easily with a fork.
Shred the entire roast and mix the meat with the juices, then let it simmer in the oven for 10-15 more minutes.
Meanwhile, make the cilantro & lime sour cream by combining the sour cream, onion, cilantro, lime juice, and lime zest.
Preheat the oven to 425 degrees. Coat a baking sheet with olive oil cooking spray.
Heat the tortillas by wrapping 10 corn tortillas in damp paper towels and microwave for 30-60 seconds to soften.
Prepare the pork taquitos by placing a bit of cheese in the center of the tortilla, then top with a bit of shredded pork and roll.
Place, seam side down, on a baking sheet that's been coated with cooking spray.
Finish rolling the taquitos, then brush or spray them with olive oil.
Bake the taquitos by placing the baking sheet in the oven for 5-7 minutes.
Flip over and cook for an additional 5-6 minutes, or until crispy and golden brown.
Serve the taquitos, guacamole, salsa, cilantro & lime sour cream, and hot sauce immediately. Enjoy.